Details

Time bar (total: 24.8s)

sample77.0ms

Algorithm
intervals
Results
19.0ms309×body80nan
17.0ms256×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
0.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.1b
(/ (* z (sqrt (+ t a))) t)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
21.0ms
(* z (sqrt (+ t a)))
7.0ms
(/ 2.0 (* t 3.0))
35.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)

series358.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
193.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify36.0ms

Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010191262
150011200
done50011200

prune576.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
49.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
63.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series716.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt t)
186.0ms
(cbrt t)
237.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
110.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify68.0ms

Counts
181 → 181
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017393626
150013513
done50013513

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
4.1b
(/ (* z (sqrt (+ t a))) t)
39.7b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod frac-sub
14×add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×frac-times
7×cube-div unpow-prod-down cbrt-div cube-prod
6×associate-*r/ associate--r+ add-log-exp
4×pow1 cbrt-undiv flip3-+ div-exp associate-/r* flip-+ div-inv associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×cube-mult pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 106
Calls
4 calls:
7.0ms
(/ 2.0 (* t 3.0))
43.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series312.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 2.0 (* t 3.0))
196.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)
18.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify37.0ms

Counts
118 → 118
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010271351
150011299
done50011299

prune626.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.0b
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
5.2b
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
5.8b
(* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a)))
23.7b
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
1707×associate-*l/
1216×associate-*r/
1088×frac-sub
1066×frac-times
997×flip3-- flip--
496×sqrt-div
342×associate-/l/
248×flip3-+ flip-+
81×add-exp-log
70×add-cbrt-cube
46×prod-exp cbrt-unprod
27×pow1
18×add-sqr-sqrt
16×pow-prod-down
12×cbrt-undiv *-un-lft-identity div-exp
10×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in times-frac associate-*r* associate-*l* associate--r+
6×sqrt-prod add-log-exp
5×sub-neg
4×unswap-sqr
3×associate-/l*
2×associate-/r/ *-commutative div-inv
1×frac-2neg diff-log div-sub clear-num associate-/r* distribute-lft-out
Counts
4 → 825
Calls
4 calls:
502.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
171.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
45.0ms
(* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a)))
1.1s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series4.4s

Counts
4 → 12
Calls
4 calls:
1.9s
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
269.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
278.0ms
(* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a)))
1.9s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify446.0ms

Counts
837 → 837
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0500153038
done500153038

prune11.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes269.0ms

Accuracy

0% (1.1b remaining)

Error of 2.6b against oracle of 1.6b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922
done3922

end0.0ms

sample1.9s

Algorithm
intervals
Results
553.0ms8000×body80valid
510.0ms7952×body80nan